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Finding the Fourth Proportional to 139,842.83, 209,794.62 and 51,096.20

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Solution

The fourth proportional to 139,842.83, 209,794.62 and 51,096.20 is: 76,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,842.83 : 209,794.62 = 51,096.20 : x
  2. Step 2: Convert to fraction form
    139,842.83/209,794.62 = 51,096.20/x
  3. Step 3: Cross multiply
    139,842.83x = 209,794.62 × 51,096.20
  4. Step 4: Simplify right side
    139,842.83x = 10,719,707,862.44
  5. Step 5: Solve for x
    x = 10,719,707,862.44/139,842.83
  6. Step 6: Final answer
    x = 76,655.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.